Limit problem involving 1-sided limits

  • Thread starter Bipolarity
  • Start date
  • #1
Bipolarity
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Homework Statement


[tex] \lim_{a→0+}\frac{1}{a}- \lim_{b→0-}\frac{1}{b} [/tex]


Homework Equations





The Attempt at a Solution


I assume I would have to use the Cauchy definition of a limit to solve this, but I was wondering if there were any alternative ways.

BiP
 

Answers and Replies

  • #2
susskind_leon
179
0
You cannot solve this at all, because neither of the two limits exist. Thus you cannot carry out the substraction.
 
  • #3
damabo
54
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hmm personally I would say the first term gives +infinity and the second term gives - infinite; so subtracting the two would give +infinity. why is this wrong?
 
  • #4
susskind_leon
179
0
Damn, I guess you're right ;-)
 
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